liming fermented substrate to increase success rate?

I'm fermenting some sugar cane bagass to innoculate with king oyster. Stamets mentions that oyster mycellium has little problem getting established in high PH substrate and will drop the PH to ideal levels as it grows and excretes enzymes. Furthermore, he mentions elsewhere that most competitor molds are acidophiles.

I'm sure i'm not the first one to come up with this idea. Is lliming the substrate likely to significantly increase the likelyhood that mushroom myscellium will win out over molds in an outdoor substrate?

Traditional recipes that I have received for growing mushrooms outdoors often include gypsum, such as the one I received to use with blewit spawn. I think it's a good idea and I've heard of it from other places. It's possible that the calcium is good for the mushrooms, independent of the PH level. I think that's what someone told me.
Thanks,
John S
PDX OR